Mathematics
In the given figure, ∠ABC = 90° and BC is diameter of the given circle. Show that :
(i) AC × AD = AB2
(ii) AC × CD = BC2
Related Questions
AB and CD are two chords of a circle intersecting at point P inside the circle. If
(i) AB = 24 cm, AP = 4 cm and PD = 8 cm, determine CP.
(ii) AP = 3 cm, PB = 2.5 cm and CD = 6.5 cm, determine CP.
In the given figure, PQ, PR and ST are tangents to the same circle. If ∠P = 40° and ∠QRT = 75°, find a, b and c.
In the given figure, AC = AB and ∠ABC = 72°. OA and OB are two tangents. Determine :
(i) ∠AOB
(ii) angle subtended by the chord AB at the center.
In the given figure, AB, BC and CA are tangents to the given circle. If AB = 12 cm, BC = 8 cm and AC = 10 cm, find the lengths of AD, BE and CF.
